Chi Cheuk Tsang
Office: 1087 Evans
E-mail: chicheuk at math.berkeley.edu
I am a fourth year PhD student in the UC Berkeley math department. I am interested in low-dimensional topology. More specifically, I like thinking about 3-manifolds, their geometry, and flows and foliations on them. Recently, I've been working on a few projects about veering triangulations, pseudo-Anosov flows, and dilatation factors of pseudo-Anosov maps.
My advisor is Ian Agol.
I received my BSc in mathematics from Chinese University of Hong Kong in 2018.
I am coorganizing the student 3-manifold seminar with Eduardo Oregon Reyes in Spring 2022.
Here is my CV
- Michael Landry and Chi Cheuk Tsang; "Endperiodic maps, splitting sequences, and branched surfaces", In preparation
- Chi Cheuk Tsang; "Constructing Birkhoff sections for pseudo-Anosov flows with controlled complexity", Preprint (2022). arXiv:2206.09586
- Chi Cheuk Tsang; "Veering branched surfaces, surgeries, and geodesic flows", Preprint (2022). arXiv:2203.02874
- Ian Agol and Chi Cheuk Tsang; "Dynamics of veering triangulations: infinitesimal components of their flow graphs and applications", Preprint (2022). arXiv:2201.02706
- Ki Fung Chan, Spiro Karigiannis, and Chi Cheuk Tsang; "The LB-cohomology on compact torsion-free G2 manifolds and an application to "almost" formality"; Annals of Global Analysis and Geometry 55 (2019), 325-369. DOI: doi.org/10.1007/s10455-018-9629-x
- Ki Fung Chan, Spiro Karigiannis, and Chi Cheuk Tsang; "Cohomologies on almost complex manifolds and the ∂∂-lemma"; Asian Journal of Mathematics 23 (2019), 561-584. DOI: doi.org/10.4310/AJM.2019.v23.n4.a2
Notes for selected talks:
- Markov partitions for geodesic flows @ 26 Apr 2022, Yale Geometry and Topology seminar
- Veering triangulations and pseudo-Anosov flows @ 3 Mar 2022, Geometric Topology Grad and Postdoc Seminar, Online
- Veering triangulations and pseudo-Anosov flows @ 9 Oct 2021, AMS Central Sectional Meeting, Online (Creighton University)
- Veering branched surfaces @ 10 Apr 2021, GSTGC 2021, Online (Indiana University)
- Introduction to pseudo-Anosov flows, Markov partitions, and dynamic pairs @ 2 & 16 Oct 2020, 3-manifold seminar, UC Berkeley
A postcard I made for NCNGT 2021.
Some useful resources if you have similar research interests as me:
Some figures from drafts of papers
Other random math sketches
The syllabus and transcript for my qualifying exam.
I worked through some textbook exercises when preparing for my quals. Here are some hand-written solutions to problems I found interesting. The first page of each pdf records which questions are included. Disclaimer: I do not guarantee correctness of the solutions.